1405940400 has 90 divisors (see below), whose sum is σ = 4879016220. Its totient is φ = 374916480.

The previous prime is 1405940353. The next prime is 1405940401. The reversal of 1405940400 is 40495041.

It is a tau number, because it is divible by the number of its divisors (90).

It is not an unprimeable number, because it can be changed into a prime (1405940401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 191670 + ... + 198869.

Almost surely, 2^1405940400 is an apocalyptic number.

1405940400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1405940400 is an abundant number, since it is smaller than the sum of its proper divisors (3473075820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1405940400 is a wasteful number, since it uses less digits than its factorization.

1405940400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390563 (or 390549 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1405940400 is about 37495.8717727699. The cubic root of 1405940400 is about 1120.2689617657.

The spelling of 1405940400 in words is "one billion, four hundred five million, nine hundred forty thousand, four hundred".